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Chapter 34: Q 61 (page 993)

To determine the focal length of a lens, you place the lens in front of a small lightbulb and then adjust a viewing screen to get a sharply focused image. Varying the lens position produces the following data:

Use the best-fit line of an appropriate graph to determine the focal length of the lens.

Short Answer

Expert verified

Focal length is equal to 15 cm.

Step by step solution

01

Step 1. Given information is :The table indicating the bulb to lens distance versus lens to screen.

We need to determine the focal length of the lens using the best fit line of an appropriate graph.

02

Step 2. Using thin lens formula

1s+1s'=1f1s'=-1s+1fOncomparingwithy=mx+b,m=-1by-intercept=1f

Now, Finding 1s'and 1sfrom given data :

Plotting the Graph :

y-intercept indicates the reciprocal of f.

Therefore,

1f=0.0665cm-1f=10.0665cm-1=15cm

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Most popular questions from this chapter

A keratometer is an optical device used to measure the radius of curvature of the eye’s cornea—its entrance surface. This measurement is especially important when fitting contact lenses, which must match the cornea’s curvature. Most light incident on the eye is transmitted into the eye, but some light reflects from the cornea, which, due to its curvature, acts like a convex mirror. The keratometer places a small, illuminated ring of known diameter 7.5 cm in front of the eye. The optometrist, using an eyepiece, looks through the center of this ring and sees a small virtual image of the ring that appears to be behind the cornea. The optometrist uses a scale inside the eyepiece to measure the diameter of the image and calculate its magnification. Suppose the optometrist finds that the magnification for one patient is 0.049. What is the absolute value of the radius of curvature of her cornea?

A lens placed10cm in front of an object creates an upright image twice the height of the object. The lens is then moved along the optical axis until it creates an inverted image twice the height of the object. How far did the lens move?

A lightbulb is 3.0 m from a wall. What are the focal length and the position (measured from the bulb) of a lens that will form an image on the wall that is twice the size of the lightbulb?

The object and lens in FIGURE Q34.7 are positioned to form a well-focused, inverted image on a viewing screen. Then a piece of cardboard is lowered just in front of the lens to cover the top half of the lens. Describe what you see on the screen when the cardboard is in place.

There’s one angle of incidence βonto a prism for which the light inside an isosceles prism travels parallel to the base and emerges at angle β.

a. Find an expression for βin terms of the prism’s apex angle αand index of refraction n.

b. A laboratory measurement finds that β= 52.2° for a prism shaped like an equilateral triangle. What is the prism’s index of refraction?
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